A guidance law for avoiding specific approach angles against maneuvering targets

Abstract

Abstract-This paper investigates an augmented pure proportional navigation-based guidance strategy, which expands upon the need for precise control of the terminal approach and/or impact angle of an interceptor by also accounting for the maneuvering target's ability to counter attack, e.g., in air-to-air combat. Specifically, an anticipatory modulation of the augmentation parameter is presented and analyzed, which addresses the objective of ensuring that the pursuer avoids any approaches that would place it within the evader's own sights. Simulation results are developed and presented to support the theoretical findings.

Mathematical Properties of Generalized Shape Expansion-Based Motion Planning Algorithms

“…An early seminal paper in the field of motion planning utilized artificial potential fields [1], however it was shown to suffer from the problem of local minima [2]. Numerous online motion planning strategies have been formulated using several methods like velocity obstacles [3] and its extensions such as optimal reciprocal collision avoidance [4], collision cone approach [5], [6] gradient vector fields [7], pseudospectral methods [8] and terminal angle-constrained guidance theory [9], [10]. In the presence of prior knowledge about the environment, offline motion planners such as discrete search-based methods [11], [12] and sampling-based methods [13], [14] are employed.…”